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Finding the Third Proportional to 85,182,590 and 185,290,045

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Solution

The third proportional to 85,182,590 and 185,290,045 is: 403,044,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182,590 : 185,290,045 = 185,290,045 : x
  2. Step 2: Convert to fraction form
    85,182,590/185,290,045 = 185,290,045/x
  3. Step 3: Cross multiply
    85,182,590x = 185,290,045 × 185,290,045
  4. Step 4: Simplify right side
    85,182,590x = 34,332,400,776,102,024
  5. Step 5: Solve for x
    x = 34,332,400,776,102,024/85,182,590
  6. Step 6: Final answer
    x = 403,044,809.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.